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Finding the Third Proportional to 2,072,277,465 and 4,507,639,851

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Solution

The third proportional to 2,072,277,465 and 4,507,639,851 is: 9,805,065,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,277,465 : 4,507,639,851 = 4,507,639,851 : x
  2. Step 2: Convert to fraction form
    2,072,277,465/4,507,639,851 = 4,507,639,851/x
  3. Step 3: Cross multiply
    2,072,277,465x = 4,507,639,851 × 4,507,639,851
  4. Step 4: Simplify right side
    2,072,277,465x = 20,318,817,026,323,300,352
  5. Step 5: Solve for x
    x = 20,318,817,026,323,300,352/2,072,277,465
  6. Step 6: Final answer
    x = 9,805,065,860.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.